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{title2=$H^*(\mathbb{RP}^m;\mathbb F_2)$}

The mod-two cohomology ring of real projective space is
$$
H^*(\mathbb{RP}^m;\mathbb F_2)\cong\mathbb F_2[y]/(y^{m+1}),
\qquad |y|=1.
$$


Mod-two cohomology ring of real projective space

Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 114 / 3 / Solution

Mod-two cohomology ring of real projective space ( $H^{*} (RP^{m}; F_{2})$ )

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Mod-two cohomology ring of real projective space (H∗(RPm;F2​))

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